MATHEMATICS HIGH SCHOOL

Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231

Answers

Answer 1

Answer:

$A+B+C=130$

$F+E+D=273$

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

$(A)/(F)=(B)/(E)=(C)/(D)$

Therefore solving for F

$(9)/(F)=(110)/(231)$

$F=(9*231)/(110)$

$F=18.9$

Therefore solving for E

$(11)/(E)=(110)/(231)$

$E=(11*231)/(110)$

$E=23.1$

Measure of $\triangle ABC$

$A+B+C=130$

Measure of $\triangle FED$

$F+E+D=273$

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(2x raised to fourth power) raised to the negative fourth power

Bob Ross has a charge card. Ross's previous monthly balance if $167.42. He made a payment of $159.15. There is no finance charge. This month Ross has no new purchases. What is the new balance?

Answers

Answer:

According to your question, the new balance is $8.27

Step-by-step explanation:

$167.42 - $159.15 = $8.27

Which graph of f(x) = 1/4(4)c?

Answers

Answer:

f(x)= 1/4

(4)

for x=1→f(1)=

⋅4

=1→(1; 1)

for x=2→f(2)=

⋅4

⋅16=4→(2; 4)

Answer: The graph nr 4.

Other method:

f(x)=\dfrac{1}{4}\cdot4^x=4^{-1}\cdot4^x=4^{x-1}f(x)=

⋅4

−1

⋅4

x−1

Used:

\begin{gathered}a^{-1}=\dfrac{1}{a}\\\\a^n\cdot a^m=a^{n\cdot m}\end{gathered}

−1

⋅a

n⋅m

Draw the graph of y = 4^x and next shift it 1 unit right.

What is 9.39 to one decimal place

Answers

9.4 because the number after the firs decimal point is higher than 5

Answer:

9.4 is the answer XD :)

Step-by-step explanation:

2. A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for entertainment. What fractional part of their income is spent on these items altogether?A. 6/41
B. 11/12
C. 41/60
D. 1/7

15. Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs?
A. 3 1/2yards
B. 4 yards
C. 4 3/8 yards
D. 3 2/3 yards

Answers

14. C, 41/60
15. also C, 4 3/8 Yards

A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score of 1.5? A. 21 miles B. 24 miles C. 36 miles D. 41 miles

Answers

The z-score tells you how many standard deviations from the mean.

1.5 * 3.6 = 5.4 miles

So anything within 5.4 miles of the average (29).

The range would be:
29 - 5.4 = 23.6
to:
29 + 5.4 = 34.4

23.6 ≤ x ≤ 34.4

Answer:
B) 24 miles

The mileage is within a z-score of 1.5 is (b) 24 miles